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Finding the Fourth Proportional to 12,137.40, 18,198 and 9,800.28

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Solution

The fourth proportional to 12,137.40, 18,198 and 9,800.28 is: 14,693.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,137.40 : 18,198 = 9,800.28 : x
  2. Step 2: Convert to fraction form
    12,137.40/18,198 = 9,800.28/x
  3. Step 3: Cross multiply
    12,137.40x = 18,198 × 9,800.28
  4. Step 4: Simplify right side
    12,137.40x = 178,345,495.44
  5. Step 5: Solve for x
    x = 178,345,495.44/12,137.40
  6. Step 6: Final answer
    x = 14,693.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.